Abstract
Mechanisms giving rise to longitudinal vortices in quasi-parallel turbulent shear layers are considered. The flow is described using the Generalized Lagrangian-mean equations of Andrews & Mclntyre and is treated as a wave mean-flow interaction. Specifically, the wave field simultaneously acts both to distort the mean flow from its laminar form and account for turbulence fluctuations. Both spanwise-independent two-dimensional and three-dimensional wave fields are explored. In each case mechanisms exist to form longitudinal vortices; however the vortices grow exponentially fast only when excited by two-dimensional waves.
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References
ANDREWS, D.G. & MCINTYRE, M.E. 1978 J. Fluid Mech., 89, 609–646.
BAYLY, B.J., ORSZAG, S.A. & HERBERT, T. 1988 Ann. Rev. Fluid Mech., 20, 359–391.
BAKEWELL, P & LUMLEY, J.L. 1967 Phys. Fluids, 10, 1880–1889.
BENNEY, D.J. & LIN, C.C. 1960 Phys. Fluids, 3, 656–657.
BENNEY, D.J. 1964 Phys. Fluids, 7, 319–326.
CRAIK, A.D.D. 1970 J. Fluid Mech, 41, 801–821.
CRAIK, A.D.D. 1982 J. Fluid Mech., 125. 37–52.
CRAIK, A.D.D. 1985 Wave Interactions and fluid flows, Cambridge University Press
CRAIK, A.D.D., & LEIBOVICH, S. 1976 J. Fluid Mech., 73, 401–426.
JIMINEZ, J & MOIN, P. 1991 J. Fluid Mech., 225, 213–240.
KELLY, R.E. 1967 J. Fluid Mech., 27, 657–689.
LEIBOVICH , S. 1983 Ann. Rev. Fluid Mech., 15, 391–427.
LEIBOVICH , S. 1991 Studies in Turbulence (ed Gatski et al) Springer-Verlag 387–411.
MIKSAD , R.W. 1972 J. Fluid Mech., 56 695–719.
NOETHER, F 1921 ZAMM 1, 125, 218–230.
PHILLIPS, W.R.C. 1981 J. Fluid Mech., 105 451–467.
PHILLIPS, W.R.C. 1989 Zoran Zaric International Seminar 1988: Near wall turbulence (ed S. Kline), Hemisphere. 736–747.
PHILLIPS, W.R.C. 1990 Applied Mechanics Reviews, 43, S227–S23l.
PHILLIPS, W.R.C. 1991 Theoret. Comput. Fluid Dynamics, 2, 329–338.
PHILLIPS, W.R.C. 1993 (in preparation)
PHILLIPS, W.R.C. & Tu, H.Y. 1992 Bull. Am. Phys. Soc., 37, 1794.
PHILLIPS, W.R.C. & Wu , Z. 1993 J. Fluid Mech., (submitted).
ROZHDESTVENSKY, B.L. & SIMAKIN , I.N. 1984 J. Fluid Mech., 147 261–289.
SIROVICH, L, BALL, K.S., & KEEFE, L.R. 1990 Phys. Fluids A, 2, 2217–2226.
ZAHN, J.P., TOOMRE, J., SPIEGEL, E.A., GOUGH, D.O. 1974 J. Fluid Mech., 64,319–345.
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Phillips, W.R.C. (1993). The genesis of longitudinal vortices in free and bounded shear layers. In: Bonnet, J.P., Glauser, M.N. (eds) Eddy Structure Identification in Free Turbulent Shear Flows. Fluid Mechanics and Its Applications, vol 21. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2098-2_5
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DOI: https://doi.org/10.1007/978-94-011-2098-2_5
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